Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 865, 759, 580, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 759, 580, 763 is 1
GCD(865, 759, 580, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 759, 580, 763 is 1
GCD(865, 759, 580, 763) = 1
Given Input numbers are 865, 759, 580, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 865, 759, 580, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 759, 580, 763 is 1.
Therefore, GCD of numbers 865, 759, 580, 763 is 1
Given Input Data is 865, 759, 580, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 763 is 7 x 109
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(865, 759) = 656535
GCD(865, 759) = ( 865 x 759 ) / 656535
GCD(865, 759) = 656535 / 656535
GCD(865, 759) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
GCD(1, 580) = 580 / 580
GCD(1, 580) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
GCD of 865, 759, 580, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 759, 580, 763?
GCD of 865, 759, 580, 763 is 1
2. Where do I get the detailed procedure to find GCD of 865, 759, 580, 763?
You can find a detailed procedure to find GCD of 865, 759, 580, 763 on our page.
3. How to find GCD of 865, 759, 580, 763 on a calculator?
You can find the GCD of 865, 759, 580, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.